The Two-Body Problem of Classical Electrodynamics
Final rept. 1 Jul 1979-30 Jun 1980
RHODE ISLAND UNIV KINGSTON DEPT OF MATHEMATICS
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A new uniqueness theorem for ordinary differential equations was proved. This theorem was then applied to solve an old problem of electrodynamics. The mathematical model involves in charged particles moving on the x-axis, each being influenced by the retarded fields of all the others. Given appropriate past histories of the trajectories, it is now proved that unique solutions will exist as long as no two particles collide.
- Theoretical Mathematics
- Electricity and Magnetism